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Finding the Fourth Proportional to 3,612.80, 4,985.52 and 2,432

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Solution

The fourth proportional to 3,612.80, 4,985.52 and 2,432 is: 3,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.80 : 4,985.52 = 2,432 : x
  2. Step 2: Convert to fraction form
    3,612.80/4,985.52 = 2,432/x
  3. Step 3: Cross multiply
    3,612.80x = 4,985.52 × 2,432
  4. Step 4: Simplify right side
    3,612.80x = 12,124,784.64
  5. Step 5: Solve for x
    x = 12,124,784.64/3,612.80
  6. Step 6: Final answer
    x = 3,356.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.